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A 13-A ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth.
13
8

Respuesta :

Answer:

10.2 ft

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\[/tex]

64 + [tex]b^{2}[/tex] = 169

[tex]b^{2} = 105\\[/tex]

b=[tex]\sqrt{105}[/tex]

b= 10.2469